18382809120 has 192 divisors, whose sum is σ = 62433068544. Its totient is φ = 4519710720.

The previous prime is 18382809089. The next prime is 18382809143. The reversal of 18382809120 is 2190828381.

It is a super-2 number, since 2×18382809120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9876990 + ... + 9878850.

It is an arithmetic number, because the mean of its divisors is an integer number (325172232).

Almost surely, 2^18382809120 is an apocalyptic number.

18382809120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18382809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216534272).

18382809120 is an abundant number, since it is smaller than the sum of its proper divisors (44050259424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18382809120 is a wasteful number, since it uses less digits than its factorization.

18382809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 18382809120 in words is "eighteen billion, three hundred eighty-two million, eight hundred nine thousand, one hundred twenty".